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Number 2 using the reminder theorem

October 28, 2026Mathematics

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Answer

21

Step-by-step solution

4 steps

To find $F(3)$ given $F(x+1) = 2x^3 + 3x - 1$ :

Determine the value of $x$ that makes the argument of $F$ equal to 3.
$x+1 = 3$
Solve for $x$ .
$x = 3 - 1$ $x = 2$
Substitute $x=2$ into the expression for $F(x+1)$ .
$F(3) = 2(2)^3 + 3(2) - 1$
Calculate the value.
$F(3) = 2(8) + 6 - 1$ $F(3) = 16 + 6 - 1$ $F(3) = 22 - 1$ $F(3) = 21$
The value of $F(3)$ is:
$21$

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